Yep. DD1 did this when she left for Uni. She phoned my niece after we left her at halls and was giving her the full trembly lip treatment and saying that she missed us. My niece then told my sister, who then phoned me to tell me
I tried to contact DD to see if she was OK, but no reply (poor mobile signal). She called the next day and was full of how wonderful everything was - the previous evening she would have been too busy making friends with her flat mates to take my call. I, however, had spent a sleepless night, worried that she would be unhappy.
Your DD will be fine, I'm sure. She is doing something that she loves and gaining a little bit of independence at the same time. It will look great on her CV too.
The thing is, she will manage - and the one thing I have learned about teenagers and phone calls is that they only call when they are miserable. They never call to say "actually I've calmed down a bit and I'm fine now" .
I learned my lesson one night when dd rang me sounding as though it was the end of the world. She sobbed down the phone at me about something someone had said. I calmed her down, and said goodbye and she forgot to switch her phone off.
Within 30 seconds I could here her calling out to some other girl and laughing .
Whereas I was at home sobbing because I felt so worried about her.
Your dd will be fine tomorrow. Once she has done the journey once, and faced the new people, she will be fine.